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  • Haversine should give you great circle distance, it won't be a direct straight line between the two points.

  • "
    The haversine formula is a very accurate way of computing distances between two points on the surface of a sphere using the latitude and longitude of the two points. The haversine formula is a re-formulation of the spherical law of cosines, but the formulation in terms of haversines is more useful for small angles and distances.
    "

    Sticking 90,0 and -90,0 in there I get:-

    haversine( [ 90, 0 ], [ -90 , 0 ] )

    Distance: 20015086.796 m
    Distance: 20015.087 km

    Which is half the circumference of the Earth. (If it was using straight line distance it would give me the diameter of the Earth).

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